i want to do some pharmacokinetic calculations with the convolution intergral.
E.g. the input rate into the linear system is
the system impulse response is
When i compute the system response to the input rate function as
I do obtain a huge mess of exponentials.
With the 'collect' function i collected the preexponential terms
but they were still huge (abt. 4 screens full).
I have tried 'factor', 'symplify' and so on but all commands
failed to give the correct solution which should be a sum of 5 exponentials
with simple preexponential terms like
a * (c / (u - k) + d / (v - k) + e / (w - k))
which is the coefficient for exp(-k*t).
Please help me to get simple solutions.
Thanx in advance
Martin from Neuenburg, Germany